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Finding the Third Proportional to 211.94 and 466.16

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Solution

The third proportional to 211.94 and 466.16 is: 1,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.94 : 466.16 = 466.16 : x
  2. Step 2: Convert to fraction form
    211.94/466.16 = 466.16/x
  3. Step 3: Cross multiply
    211.94x = 466.16 × 466.16
  4. Step 4: Simplify right side
    211.94x = 217,301.65
  5. Step 5: Solve for x
    x = 217,301.65/211.94
  6. Step 6: Final answer
    x = 1,025.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.